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Finding the Third Proportional to 1,920,678 and 4,121,292

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Solution

The third proportional to 1,920,678 and 4,121,292 is: 8,843,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,678 : 4,121,292 = 4,121,292 : x
  2. Step 2: Convert to fraction form
    1,920,678/4,121,292 = 4,121,292/x
  3. Step 3: Cross multiply
    1,920,678x = 4,121,292 × 4,121,292
  4. Step 4: Simplify right side
    1,920,678x = 16,985,047,749,264
  5. Step 5: Solve for x
    x = 16,985,047,749,264/1,920,678
  6. Step 6: Final answer
    x = 8,843,256.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.